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Finding the Fourth Proportional to 90.24, 124.41 and 65.38

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Solution

The fourth proportional to 90.24, 124.41 and 65.38 is: 90.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    90.24 : 124.41 = 65.38 : x
  2. Step 2: Convert to fraction form
    90.24/124.41 = 65.38/x
  3. Step 3: Cross multiply
    90.24x = 124.41 × 65.38
  4. Step 4: Simplify right side
    90.24x = 8,132.98
  5. Step 5: Solve for x
    x = 8,132.98/90.24
  6. Step 6: Final answer
    x = 90.13

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.